A disc is rotating with angular speed 50rad/sec having radius r=2m. Find angular velocity of point A wrt C, O and B. Don't spam!

50 rad/s

Explanation:

Angular velocity equals the relative linear velocity divided by the radius.

vb = va + ωr

ω = (vb − va) / r

The disc has angular velocity 50 rad/s and radius 2 m.  So the linear velocity of point A is v = (50 rad/s) (2 m) = 100 m/s.  The linear velocity of point C is v = (50 rad/s) (1 m) = 50 m/s.  And the linear velocity of point B is -100 m/s.

The angular velocity of point A with respect to point C is:

ω = (100 m/s − 50 m/s) / (1 m)

ω = 50 rad/s

The angular velocity of point A with respect to point O is:

ω = (100 m/s − 0 m/s) / (2 m)

ω = 50 rad/s

The angular velocity of point A with respect to point B is:

ω = (100 m/s − -100 m/s) / (4 m)

ω = 50 rad/s

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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